sine rule and area of any triangle

find area of this triangle to 1 decimal place please

I got 61.1 as the answer but it's wrong apparently

thanks ​

sine rule and area of any trianglefind area of this triangle to 1 decimal place pleaseI got 611 as the answer but its wrong apparently thanks class=

Respuesta :

Answer:

94.1 m²

Step-by-step explanation:

Use the sine rule to find BC

[tex]\frac{BC}{sin82}[/tex] = [tex]\frac{12}{sin40}[/tex]  ( cross- multiply )

BC × sin40° = 12 × sin82° ( divide both sides by sin40° )

BC = [tex]\frac{12sin82}{sin40}[/tex] ≈ 18.487

Area = [tex]\frac{1}{2}[/tex] × 12 × 18.487 × sin58° ≈ 94.1